A processability determination device includes a three-dimensional shape extraction unit, a three-dimensional shape rotation unit, a depth map transformation unit, and an inference model that is constructed by machine learning by use of a learning processing axis direction instruction, a learning depth map extracted from learning three-dimensional shape data, and processability information describing propriety of actual processing already performed according to the learning processing axis direction instruction and the learning three-dimensional shape data, and determines the propriety of processing of the processing plan shape by inference by use of the desired processing axis and the depth map generated by the depth map transformation unit.